The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 9 0 0 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 0 9 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 9 9 0 9 18 9 0 0 0 18 9 9 18 18 9 18 0 18 9 18 18 0 0 0 9 18 0 0 9 0 18 9 18 9 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 0 9 18 9 9 18 0 18 0 9 9 0 18 0 0 9 9 18 18 18 9 0 18 18 0 9 0 9 18 9 9 0 0 9 18 18 9 18 0 9 18 18 0 18 18 0 0 0 0 9 18 18 0 18 18 18 9 0 18 0 18 9 9 0 9 9 9 18 9 0 9 18 0 0 9 18 18 18 9 9 9 18 18 0 0 0 9 9 18 18 9 0 0 0 9 0 18 0 18 18 18 18 0 18 0 18 0 0 18 18 0 9 9 9 0 18 9 9 9 9 generates a code of length 74 over Z27 who´s minimum homogenous weight is 146. Homogenous weight enumerator: w(x)=1x^0+102x^146+32x^147+486x^148+54x^149+32x^150+8x^153+4x^156+4x^159+6x^173 The gray image is a code over GF(3) with n=666, k=6 and d=438. This code was found by Heurico 1.16 in 67.9 seconds.